| Lecturer | 권순식 |
|---|---|
| Dept. | KAIST |
| date | May 01, 2014 |
Normal form method is a classical ODE technique begun by H. Poincare. Via a suitable transformation one reduce a differential equation to a simpler form, where most of nonresonant terms are cancelled. In this talk, I begin to explain the notion of resonance and the normal form method in ODE setting and Hamiltonian systems. Afterward, I will present how we apply the method to nonlinear dispersive equations such as KdV, NLS to obtain unconditional well-posedness for low regularity data.
On some nonlinear elliptic problems
On Ingram’s Conjecture
On function field and smooth specialization of a hypersurface in the projective space
On circle diffeomorphism groups
Number theoretic results in a family
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Nonlocal generators of jump type Markov processes
Noncommutative Surfaces
Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry
Non-commutative Lp-spaces and analysis on quantum spaces
Noise-induced phenomena in stochastic heat equations
Mixing time of random processes
Mixed type PDEs and compressible flow
Mirror symmetry of pairings
Mechanization of proof: from 4-Color theorem to compiler verification
Maximal averages in harmonic analysis
Mathematics, Biology and Mathematical Biology
Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza
Mathematical Analysis Models and Siumlations
Mathemaics & Hedge Fund
